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Entropic contributions in Langevin equations for anisotropic driven systems

Author

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  • de los Santos, Francisco
  • Garrido, Pedro L
  • Muñoz, Miguel A

Abstract

We report on analytical results for a series of anisotropic driven systems in the context of a recently proposed Langevin equation approach. In a recent paper (P.L. Garrido et al., Phys. Rev. E 61 (2000) R4683) we have pointed out that entropic contributions, over-looked in previous works, are crucial in order to obtain suitable Langevin descriptions of driven lattice gases. Here, we present a more detailed derivation and justification of the entropic term for the standard driven lattice gas, and also we extend the improved approach to other anisotropic driven systems, namely: (i) the randomly driven lattice gas, (ii) the two-temperature model and, (iii) the bi-layer lattice gas. It is shown that the two-temperature model and the lattice gas driven either by a random field or by an uniform infinite one are members of the same universality class. When the drive is uniform and finite the ‘standard’ theory is recovered. A Langevin equation describing the phenomenology of the bi-layer lattice gas is also presented.

Suggested Citation

  • de los Santos, Francisco & Garrido, Pedro L & Muñoz, Miguel A, 2001. "Entropic contributions in Langevin equations for anisotropic driven systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(3), pages 364-374.
    • Handle: RePEc:eee:phsmap:v:296:y:2001:i:3:p:364-374
    DOI: 10.1016/S0378-4371(01)00043-7
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    Cited by:

    1. Saracco, Gustavo P. & Rubio Puzzo, M. Leticia & Bab, Marisa A., 2017. "Study of the critical behavior of the driven lattice gas model with limited nonequilibrium dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 307-314.

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